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Finding the Fourth Proportional to 70,472.14, 105,500.85 and 47,040.46

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Solution

The fourth proportional to 70,472.14, 105,500.85 and 47,040.46 is: 70,422.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,472.14 : 105,500.85 = 47,040.46 : x
  2. Step 2: Convert to fraction form
    70,472.14/105,500.85 = 47,040.46/x
  3. Step 3: Cross multiply
    70,472.14x = 105,500.85 × 47,040.46
  4. Step 4: Simplify right side
    70,472.14x = 4,962,808,954.54
  5. Step 5: Solve for x
    x = 4,962,808,954.54/70,472.14
  6. Step 6: Final answer
    x = 70,422.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.